Slow-roll corrections to inflaton fluctuations on a brane

Details Slow-roll corrections to inflaton fluctuations on a brane Slow-roll corrections to inflaton fluctuations on a brane

2005-06-13

arxiv.org/abs/hep-th/0506102v1

JCAP 0508 (2005) 009

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 4 figures

Scientific paper

10.1088/1475-7516/2005/08/009

Quantum fluctuations of an inflaton field, slow-rolling during inflation are coupled to metric fluctuations. In conventional four dimensional cosmology one can calculate the effect of scalar metric perturbations as slow-roll corrections to the evolution of a massless free field in de Sitter spacetime. This gives the well-known first-order corrections to the field perturbations after horizon-exit. If inflaton fluctuations on a four dimensional brane embedded in a five dimensional bulk spacetime are studied to first-order in slow-roll then we recover the usual conserved curvature perturbation on super-horizon scales. But on small scales, at high energies, we find that the coupling to the bulk metric perturbations cannot be neglected, leading to a modified amplitude of vacuum oscillations on small scales. This is a large effect which casts doubt on the reliability of the usual calculation of inflaton fluctuations on the brane neglecting their gravitational coupling.

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